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A133773 Number of runs (of equal bits) in the maximal "phinary" (A130601) representation of n. 2
1, 1, 3, 5, 3, 3, 7, 5, 5, 5, 9, 5, 5, 7, 5, 5, 5, 11, 9, 9, 7, 5, 7, 7, 9, 7, 7, 7, 13, 7, 7, 9, 7, 7, 7, 11, 9, 9, 7, 5, 7, 7, 9, 7, 7, 7, 15, 13, 13, 11, 9, 11, 11, 11, 9, 9, 7, 5, 9, 9, 11, 9, 9, 9, 13, 11, 11, 9, 7, 9, 9, 11, 9, 9, 9, 17, 9, 9, 11, 9, 9, 9, 13, 11, 11, 9, 7, 9, 9, 11, 9, 9, 9, 15, 13 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

REFERENCES

Zeckendorf, E., Representation des nombres naturels par une somme des nombres de Fibonacci ou de nombres de Lucas, Bull. Soc. Roy. Sci. Liege 41, 179-182, 1972.

LINKS

Casey Mongoven, Table of n, a(n) for n = 1..199

Ron Knott, Using Powers of Phi to represent Integers.

Casey Mongoven, Music based on this sequence.

EXAMPLE

A130601(3)=1101 because phi^1+phi^0+phi^-2 = 3; 1101 has 3 runs: 11,0,1. So a(3)=3.

CROSSREFS

Cf. A133772, A130601.

Sequence in context: A073703 A175019 A097519 * A077934 A077950 A077973

Adjacent sequences:  A133770 A133771 A133772 * A133774 A133775 A133776

KEYWORD

nonn

AUTHOR

Casey Mongoven, Sep 23 2007

STATUS

approved

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Last modified August 18 04:17 EDT 2017. Contains 290684 sequences.